document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=240184>Question 240184</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to solve for x and y by using substitution.  I am not sure of how to go about doing this problem.  If someone could help I would appreciate it.  The problem is:\r<BR>\n" );
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document.write( "{y=8-3x<BR>\n" );
document.write( "{2x-5y=11\r<BR>\n" );
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document.write( "I know that I need to multiply one problem to make the y's cancel but I am not sure.\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #176119 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=176119\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need to solve for x and y by using substitution.\r<BR>\n" );
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document.write( " y = 8 - 3x<BR>\n" );
document.write( "2x - 5y = 11 <BR>\n" );
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document.write( "Note that y = (8-3x), substitute this for y in the 2nd equation<BR>\n" );
document.write( "2x - 5(8-3x) = 11<BR>\n" );
document.write( "Multiply what's inside the brackets, change the signs inside the brackets<BR>\n" );
document.write( "2x - 40 + 15x = 11<BR>\n" );
document.write( "2x + 15x = 11 + 40<BR>\n" );
document.write( "17x = 51<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=51%2F17 ALIGN=MIDDLE  ALT=\"51%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 3<BR>\n" );
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document.write( "Use the 1st equation to find y, substitute 3 for x<BR>\n" );
document.write( "y = 8 - 3(3)<BR>\n" );
document.write( "y = 8 - 9<BR>\n" );
document.write( "y = -1<BR>\n" );
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document.write( "Check solutions by substitution in the 2nd equation<BR>\n" );
document.write( "2x - 5y = 11 <BR>\n" );
document.write( "2(3) - 5(-1) = 11<BR>\n" );
document.write( "6 + 5 = 11; confirms our solutions<BR>\n" );
document.write( ";<BR>\n" );
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document.write( "you made the statement,\"I know that I need to multiply one problem to make the y's cancel\"<BR>\n" );
document.write( "This is not so in the substitution method. You've got it mixed up with the elimination method. </SPAN>\n" );
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